810256200 has 192 divisors, whose sum is σ = 2743991040. Its totient is φ = 196577280.

The previous prime is 810256169. The next prime is 810256277. The reversal of 810256200 is 2652018.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 568689 + ... + 570111.

It is an arithmetic number, because the mean of its divisors is an integer number (14291620).

Almost surely, 2^810256200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 810256200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371995520).

810256200 is an abundant number, since it is smaller than the sum of its proper divisors (1933734840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

810256200 is a wasteful number, since it uses less digits than its factorization.

810256200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 810256200 is about 28464.9995608642. Note that the first 3 decimals coincide. The cubic root of 810256200 is about 932.2680220394.

The spelling of 810256200 in words is "eight hundred ten million, two hundred fifty-six thousand, two hundred".